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 Answer: 25 Step 1: We can find that the square root of 9 is 3, and 64 is 8.  Step 2: Subtract 3 on both sides Step 3: The question asks us to find the value of x, so square both sides. Step 4: X = 25. 

  Answer : 133/8 *(5/2)^x  (5/2)^x+3 can be written as (5/2)^x * (5/2)^3 using the exponential rules

  Answer: 5  Step 1: Should have the same base to use the exponent rule. Step 2:  We get 5^6x-15.  Step 3: 5^6x-5 = 5^2x+5 combine like terms.  Step 4: you will get x = 20 /4 x= 5. 

  Given options. A. 16 B. 32 C. 64 D.128 2x - 4y = 3 Step 1: Make that a common base and use the exponent rule (division rule).  Step 2: We will get 4^2x-4y.  Step 3: As mentioned in the question 2x-4y = 3 so replace 3 into the exponent. Step 4: 4^3 = 64, hence choice c is correct 

  Choices for this question  Option d is correct 

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  Given options: A 5^5 B. 5^25 C. 5^50 D. 5^125  They have given the x value so let's substitute these values into it  5^2^5^2. this might be a little confusing  5^2 = 25   5^2^25  2*25= 50 5^50 

  Given options A. 2 B. 6 C. 16 D. 80 We are going to first form equations from the statement  so  16 +4x is 10 more than 14 The equation must be  16+4x= 14+10  14+10 is 24 16+4x = 24  4x= 24-16  4x = 8  x = 8/4 x= 2  what is the value of 8x?  don't just be fooled by the question, we found the value of x so substitute into 8x 8*2 = 16   The value of 8x is 16

  Answer = b^15/4 Given:  question b^4*b^-1/4 Step 1:Use the exponent rule. Step 2: make the denominator common. Step 3: subtract the exponents.

Answer: 8 Given:  Step 1: Simplify.  Step 2: Use the exponent rule. Step 3: Make the denominator common. Step 4: Simplify the exponent into 1/2 Step 5: The square root of 64 is 8.  (Explanation: 64^1/2 means the square root of 64, let's assume that some number is multiplied 2 times to get 64)

  Given: Step1: Simplify the expression. Step 2: Use the exponent rule (Power of the fraction ). Step 3: 250 is divisible by 2. Step 4: Cube root of 125 is 5.  (Explanation: 125^1/3 means cube root of 125. so let's assume that some number is multiplied 3 times to get 125).

  step1: simplify  step 2: use the exponent rules (power of fraction rule) step 3: divide 98 by 2 which gives 49  step 4: square root of 49 is 7  (explanation: 49^1/2 is nothing but the square root of 49, I assume as what number gives you 49 or some number when it's multiplied two times